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Simplifying 6(3 + 2x) = 3(-3 + 7x) (3 * 6 + 2x * 6) = 3(-3 + 7x) (18 + 12x) = 3(-3 + 7x) 18 + 12x = (-3 * 3 + 7x * 3) 18 + 12x = (-9 + 21x) Solving 18 + 12x = -9 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 18 + 12x + -21x = -9 + 21x + -21x Combine like terms: 12x + -21x = -9x 18 + -9x = -9 + 21x + -21x Combine like terms: 21x + -21x = 0 18 + -9x = -9 + 0 18 + -9x = -9 Add '-18' to each side of the equation. 18 + -18 + -9x = -9 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = -9 + -18 -9x = -9 + -18 Combine like terms: -9 + -18 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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